Local rotundity structure of Cesàro--Orlicz sequence spaces

DOI10.1016/j.jmaa.2008.04.016zbMath1155.46007OpenAlexW1995124301MaRDI QIDQ931011

Henryk Hudzik, Paweł Foralewski, Alicja Szymaszkiewicz

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.016

zbMATH Keywords

extreme pointOrlicz functionOrlicz sequence spacebest approximationstrong U-pointCesàro-Orlicz sequence space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (13)

The Ptolemy constant of absolute normalized norms on \({\mathbb R^2}\) ⋮ Certain geometric structures of \(\Lambda\)-sequence spaces ⋮ Some remarks on the geometry of Lorentz spaces ⋮ Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces ⋮ Multiplication operators on Cesàro-Orlicz sequence spaces ⋮ A note on Cesàro--Orlicz sequence spaces ⋮ Rotundity structure of local nature for generalized Orlicz-Lorentz function spaces ⋮ On isometric copies of \(\ell _{\infty }\) and James constants in Cesáro-Orlicz sequence spaces ⋮ Hölder’s means and absolute normalized norms on R2 ⋮ Packing constant for Cesàro-Orlicz sequence spaces ⋮ The spectrum generated by \(s\)-numbers and pre-quasi normed Orlicz-Cesàro mean sequence spaces ⋮ Small pre-quasi Banach operator ideals of type Orlicz-Cesáro mean sequence spaces ⋮ Strict convexity of Orlicz sequence spaces equipped with \(p\)-Amemiya norms

Cites Work

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• Orlicz spaces and modular spaces
• Basic topological and geometric properties of Cesàro-Orlicz spaces
• On the James constant and \(B\)-convexity of Cesàro and Cesàro--Orlicz sequence spaces
• Orlicz spaces without extreme points
• On some local geometry of Orlicz sequence spaces equipped with the Luxemburg norm
• Some geometric properties related to fixed point theory in Cesàro spaces
• Banach-Saks property and property \((\beta)\) in Cesàro sequence spaces
• Packing constant for Cesaro sequence spaces.
• Some remarks on Cesàro-Orlicz sequence spaces
• Extreme and Exposed Points in Orlicz Spaces
• Factorizing the classical inequalities

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